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yulyashka [42]
3 years ago
14

hannah's school hosted a book donation. there are 150 students at her school, and they donated b books! hannah donated 3 times a

s many as the average number of books each student donated. How many books did hannah donate? write your answer as an expression
Mathematics
2 answers:
MArishka [77]3 years ago
8 0
3b=150 should be the answer.
enot [183]3 years ago
6 0

Answer: \frac{b}{50}

Step-by-step explanation:

Given: The total number of students donated books in Hannah's school = 150

The number of books donated by students = b

The average number of books each student donated=\frac{\text{total books donated}}{\text{total students}}

Thus, The average number of books each student donated=\frac{b}{150}

Since, Hannah donated 3 times as many as the average number of books each student donated.

Then , the number of books donated by Hannah= 3\times\frac{b}{150}=\frac{b}{50}

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Write f(x) in the form (x-k)q(x)+r, given that k=-2. f(x)=3x^4+4x^3-10x^2+15
Liono4ka [1.6K]
You may perform the division using either long division or synthetic division.  Any preference?

I used synthetic div. with -2 as the divisor:

      ________________
-2  /  3   4   -10   0   15
             -6     4   12  -24
        -------------------------
        3    -2   -6    12   -9

In factored form, with remainder, we then have:

   (x+2)(3x^3 - 2x^2 - 6x + 12)   remainder -9

If you need clarification of any part of this solution, let me know.
3 0
3 years ago
...............................................
olga2289 [7]

Answer:

  1. OT⊥BA;T is the midpoint of BA-------Given
  2. ∠BTO and ∠ATO are right angles ---Definition of perpendicular lines
  3. ∠BTO≅∠ATO---------------------------------All right angles are congruent
  4. T is the midpoint of BA------------------ Given
  5. TA≅TB-------------------------------------------Definition of midpoint
  6. TO≅TO------------------------------------------Reflexive
  7. ΔBOT≅ΔAOT---------------------------------SAS

Step-by-step explanation:

Given that OT⊥BA and T is the midpoint of BA

As OT⊥BA,

∠BTO and ∠ATO are right angles (Definition of perpendicular lines)

⇒∠BTO≅ ∠ATO (All right angles are congruent)

T is the midpoint ofBA (given)

⇒TA≅TB (Definition of midpoint)

TO≅TO (Reflexive)

Therefore, ΔBOT≅ΔAOT (by SAS criteria ):

conditions:

  • BT=AT(side)
  • ∠BTO=∠ATO(angle)
  • TO=TO(side)
3 0
3 years ago
Use the graph to fill in the blank with the correct number.
defon

Answer:

3029

Step-by-step explanation:

5 0
1 year ago
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 130 to 190 cm and we
torisob [31]

The best predicted weight of a person that is 156 cm is 285.4kg

<h3>We have the regression equation as </h3>

y= 106+1.15

When the adult male is 156 cm tall the weight of this person would be calculated as:

y= 106+1.15*156

y = 106 + 179.4

y = 285.4

Hence we can arrive at the conclusion that the best predicted weight of a person that is 156 cm is 285.4kg

Read more on regression equation here:

brainly.com/question/26843436

#SPJ1

3 0
2 years ago
50 POINTS PLUS BRAINLIST
MAVERICK [17]

Answer:

20.

As P is the mid point so

2x + 3 = x + 7

transpose

2x - x = 7 -3

x = 4

21.

4x + 3 = 8x - 11

transpose

4x - 8x = -11 -3

-4x = -14

x = 14/4

x = 7/2

x can also be 3.5

22.

7x - 3 = 5x + 2

transpose

7x - 5x = 2 + 3

2x = 5

x = 5/2

x can also be 2.5

6 0
3 years ago
Read 2 more answers
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